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Finding the Fourth Proportional to 13,367.46, 18,451.20 and 7,706.00

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Solution

The fourth proportional to 13,367.46, 18,451.20 and 7,706.00 is: 10,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.46 : 18,451.20 = 7,706.00 : x
  2. Step 2: Convert to fraction form
    13,367.46/18,451.20 = 7,706.00/x
  3. Step 3: Cross multiply
    13,367.46x = 18,451.20 × 7,706.00
  4. Step 4: Simplify right side
    13,367.46x = 142,184,854.94
  5. Step 5: Solve for x
    x = 142,184,854.94/13,367.46
  6. Step 6: Final answer
    x = 10,636.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.